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Vertical Reaction at Supports Formula

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Vertical reaction at supports is total reaction in vertical direction. Check FAQs

V R = q \cdot \frac{L span}{2}

V_R - Vertical Reaction at Supports?q - Uniformly Distributed Load?L_span - Cable Span?

Vertical Reaction at Supports Example

With values

With units

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Here is how the Vertical Reaction at Supports equation looks like with Values.

Here is how the Vertical Reaction at Supports equation looks like with Units.

Here is how the Vertical Reaction at Supports equation looks like.

75 = 10 \cdot \frac{15}{2}

75kN = 10kN/m \cdot \frac{15m}{2}

75 = 10 \cdot \frac{15}{2}

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Vertical Reaction at Supports Solution

Follow our step by step solution on how to calculate Vertical Reaction at Supports?

FIRST Step Consider the formula

V R = q \cdot \frac{L span}{2}

Next Step Substitute values of Variables

∴

V R = 10kN/m \cdot \frac{15m}{2}

Next Step Convert Units

∴

V R = 10000N/m \cdot \frac{15m}{2}

Next Step Prepare to Evaluate

∴

V R = 10000 \cdot \frac{15}{2}

Next Step Evaluate

∴

V R = 75000N

LAST Step Convert to Output's Unit

∴

V R = 75kN

Vertical Reaction at Supports Formula Elements

Variables

Vertical Reaction at Supports

Vertical reaction at supports is total reaction in vertical direction.

Symbol: V_R

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Supports

Uniformly Distributed Load

Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniformly Distributed Load

Cable Span

Cable Span is total length of cable in horizontal direction.

Symbol: L_span

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cable Span

Other formulas in Supports at Same Level category

Go Horizontal Component of Cable Tension for UDL

T cable udl = q \cdot \frac{{L span}^{2}}{8 \cdot f}

Go Uniformly distributed Load given Horizontal Component of Cable Tension for UDL

q = \frac{T cable udl \cdot 8 \cdot f}{{(L span)}^{2}}

Go Span Length given Horizontal Component of Cable Tension for UDL

L span = \sqrt{\frac{8 \cdot f \cdot T cable udl}{q}}

Go Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL

f = q \cdot \frac{{L span}^{2}}{8 \cdot T cable udl}

How to Evaluate Vertical Reaction at Supports?

Vertical Reaction at Supports evaluator uses Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2 to evaluate the Vertical Reaction at Supports, The Vertical Reaction at Supports formula is defined as the force acting at supports due to load acting on cable. Vertical Reaction at Supports is denoted by V_R symbol.

How to evaluate Vertical Reaction at Supports using this online evaluator? To use this online evaluator for Vertical Reaction at Supports, enter Uniformly Distributed Load (q) & Cable Span (L_span) and hit the calculate button.

FAQs on Vertical Reaction at Supports

What is the formula to find Vertical Reaction at Supports?

The formula of Vertical Reaction at Supports is expressed as Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2. Here is an example- 0.075 = 10000*15/2.

How to calculate Vertical Reaction at Supports?

With Uniformly Distributed Load (q) & Cable Span (L_span) we can find Vertical Reaction at Supports using the formula - Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2.

Can the Vertical Reaction at Supports be negative?

No, the Vertical Reaction at Supports, measured in Force cannot be negative.

Which unit is used to measure Vertical Reaction at Supports?

Vertical Reaction at Supports is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Vertical Reaction at Supports can be measured.

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